National 5 Applications of Maths

What is in National 5 Applications of Maths: the course content

National 5 Applications of Maths is examined by two papers, both compulsory: Paper 1 without a calculator (35 marks) and Paper 2 with one (55 marks, including case studies). Most questions are set in real-life contexts, and many ask you to make and justify a decision.

Weeks before your first paper
Hours a week for maths
Topic 1: Numeracy: numbers, fractions and percentages
Topic 2: Measures, rates and proportion
Topic 3: Income, deductions and budgeting
Topic 4: Best deals, currency, saving and borrowing
Topic 5: Statistics
Topic 6: Planning: scale drawing, navigation, packing and scheduling
Topic 7: Geometry: gradient, shapes, solids and Pythagoras
Topic 8: Interpreting data and probability

26 weeks, 104 hours in all

Start with Topic 1

Numeracy: numbers, fractions and percentages: 12 of your hours. It is 3 of the 40 questions on our timed checks, 13%.

Hours per topic
TopicYour hoursShare of the checks
Topic 1: Numeracy: numbers, fractions and percentages1213%
Topic 2: Measures, rates and proportion1213%
Topic 3: Income, deductions and budgeting1213%
Topic 4: Best deals, currency, saving and borrowing1213%
Topic 5: Statistics1213%
Topic 6: Planning: scale drawing, navigation, packing and scheduling1213%
Topic 7: Geometry: gradient, shapes, solids and Pythagoras1213%
Topic 8: Interpreting data and probability1213%

Week by week

  1. Week 1Section 1: Numeracy: numbers, fractions and percentages
  2. Week 2Section 1: Numeracy: numbers, fractions and percentages
  3. Week 3Section 1: Numeracy: numbers, fractions and percentages
  4. Week 4Section 2: Measures, rates and proportion
  5. Week 5Section 2: Measures, rates and proportion
  6. Week 6Section 2: Measures, rates and proportion
  7. Week 7Section 3: Income, deductions and budgeting
  8. Week 8Section 3: Income, deductions and budgeting
  9. Week 9Section 3: Income, deductions and budgeting
  10. Week 10Section 4: Best deals, currency, saving and borrowing
  11. Week 11Section 4: Best deals, currency, saving and borrowing
  12. Week 12Section 4: Best deals, currency, saving and borrowing
  13. Week 13Section 5: Statistics
  14. Week 14Section 5: Statistics
  15. Week 15Section 5: Statistics
  16. Week 16Section 6: Planning: scale drawing, navigation, packing and scheduling
  17. Week 17Section 6: Planning: scale drawing, navigation, packing and scheduling
  18. Week 18Section 6: Planning: scale drawing, navigation, packing and scheduling
  19. Week 19Section 7: Geometry: gradient, shapes, solids and Pythagoras
  20. Week 20Section 7: Geometry: gradient, shapes, solids and Pythagoras
  21. Week 21Section 7: Geometry: gradient, shapes, solids and Pythagoras
  22. Week 22Section 8: Interpreting data and probability
  23. Week 23Section 8: Interpreting data and probability
  24. Week 24Section 8: Interpreting data and probability
  25. Week 25A timed check and two paper-style questions, then review every lost mark
  26. Week 26A timed check and two paper-style questions, then review every lost mark

Check your topics with the free test

Paper 1Non-calculator, 50 minutes, 35 marks
Paper 2Calculator, 1 hour 40 minutes, 55 marks, with case studies
Total90 marks, graded A to D
Exam day 2027Monday 26 April

The eight sections of this course

  • 1 Numeracy: notation and units, rounding, fractions, decimals and percentages, compound percentage change.
  • 2 Measures, rates and proportion: speed, distance and time, area, perimeter and volume, ratio and scale, direct and indirect proportion, reading scales.
  • 3 Income, deductions and budgeting: basic pay, overtime, bonus and commission, income tax, National Insurance and pension, budgets.

Decisions run through every paper

Besides the calculations, questions ask you to use your results to make a decision and to say why, such as which deal is better value or whether a plan meets a deadline.

Try 2 questions

Question 1Paper 1 style · no calculator
A restaurant bill is 64.00 pounds. A service charge of 15%15\% is added. What is the total to pay?
Question 2Paper 2 style · calculator
Three 24 month phone deals. Deal A: upfront cost 0 pounds, 32 pounds a month, 15 GB of data a month. Deal B: upfront cost 99 pounds, 28 pounds a month, 30 GB a month. Deal C: upfront cost 249 pounds, 22 pounds a month, unlimited data.
DealUpfront cost (pounds)Monthly cost (pounds)Data per month
A03215 GB
B992830 GB
C24922Unlimited
Mhairi needs a phone contract with at least 20 GB of data a month. The table shows three 24 month deals. Which deal that meets her needs costs the least over the 24 months, and what is its total cost?

Next step

Questions people ask

Is there coursework in National 5 Applications of Maths?

No. The grade comes from the two question papers: 35 marks without a calculator and 55 marks with one, 90 marks in all.

Which grades are awarded?

The course is graded A to D on the total mark of both papers.

Is this the same as National 5 Maths?

No. Applications of Mathematics is a separate course focused on using maths in real-life contexts. We have a separate course for National 5 Mathematics.